Generalized 2-proximal C-contraction mappings in complete ordered 2-metric space and their best proximity points
Authors: Sanatee A.G., Iranmanesh M., Mishra L.N., Mishra V.N.
Keywords: 2-proximal C-contraction mapping; best proximity point; 2-metric space
Abstract:
In this paper, we extend the concept of best proximity point to 2-metric spaces and prove the existence of such points for contraction type non-self mappings in the setting of complete 2-metric spaces. Also, we presented an example to support our results.